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Finding the Third Proportional to 6,380,120.50 and 14,000,261

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Solution

The third proportional to 6,380,120.50 and 14,000,261 is: 30,721,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,120.50 : 14,000,261 = 14,000,261 : x
  2. Step 2: Convert to fraction form
    6,380,120.50/14,000,261 = 14,000,261/x
  3. Step 3: Cross multiply
    6,380,120.50x = 14,000,261 × 14,000,261
  4. Step 4: Simplify right side
    6,380,120.50x = 196,007,308,068,121
  5. Step 5: Solve for x
    x = 196,007,308,068,121/6,380,120.50
  6. Step 6: Final answer
    x = 30,721,568.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.